{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PyTorch Backend Basics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import optiland.backend as be\n",
    "from optiland.samples.objectives import CookeTriplet\n",
    "from optiland.psf import FFTPSF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "be.set_backend(\"torch\")  # all calculations will be done using torch\n",
    "be.set_precision(\"float32\")  # or \"float64\" for double precision\n",
    "be.grad_mode.enable()  # enable gradient calculation. Can also be set to \"disable\" to save memory if gradients are not needed.\n",
    "be.set_device(\"cuda\")  # run on GPU if available, otherwise use \"cpu\" option"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From this point on, all calculations are identical regardless of the backend used (NumPy or PyTorch)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = CookeTriplet()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x550 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "psf = FFTPSF(lens, field=(0, 1), wavelength=0.55)\n",
    "psf.view(projection=\"2d\", num_points=256)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
